Lagrangian flow visualization of multiple co-axial co-rotating vortex rings

Qin, Suyang; Liu, Hong; Xiang, Yang

doi:10.1007/s12650-017-0450-6

Cited by 9 publications

(3 citation statements)

References 17 publications

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“…The data we used in this article is an experimental data conducted by vortex ring generator. The experimental apparatus has been published by Suyang Qin in [30,31]. Fig.…”

Section: Experimental Cases: Single Vortexmentioning

confidence: 99%

An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation

Hang

Xiang

et al. 2019

J Vis

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High-accuracy and high-efficiency finite-time Lyapunov exponent (FTLE) calculation method has long been a research hot point, and adaptive refinement method is a kind of method in this field. The proposed objectiveadaptive refinement (OAR) criterion can put adaptive particles at the vicinity of FTLE ridges. The FTLE ridge is extracted not simply by the magnitude of FTLE (would cause false negative refinement) and error (would cause false positive refinement) but by a modified gradient climbing method. Moreover, the refinement regions converge to some certain region because of the objectivity of the refinement region. Testing cases include Bickley jet, mild FTLE ridge, and experimental single vortex. The results demonstrate that the proposed algorithm can avoid useless refinement of other methods in some certain areas, and thus reduce error up to 25% compared with the other methods with little difference in the calculation burden.

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“…The data we used in this article is an experimental data conducted by vortex ring generator. The experimental apparatus has been published by Suyang Qin in [30,31]. Fig.…”

Section: Experimental Cases: Single Vortexmentioning

confidence: 99%

An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation

Hang

Xiang

et al. 2019

J Vis

Self Cite

View full text Add to dashboard Cite

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“…The time evolution of this vortex configuration is striking: the vortex ring (or pair) which is ahead widens and slows down, while the ring behind contracts, speeds up, catches up with the first ring and goes ahead through it; this 'leapfrogging' game is then repeated over and over again, unless instabilities disrupt it. A number of papers have been written on different aspects of this problem, ranging from the stability (Love 1894;Hicks 1922;Acheson 2000;Tophøj & Aref 2013) to the deformation of the vortex cores and to the effects of viscosity (Shariff & Leonard 1992) using numerical (Riley & Stevens 1993;Borisov 2014;Cheng & Lim 2015) as well as experimental methods (Maxworthy 1972;Yamada & Matsui 1978;Lim 1997;Qin, Liu & Xiang 2018). The most recent developments concern leapfrogging of vortex bundles (Wacks, Baggaley & Barenghi 2014) and helical waves (Hietala et al 2016;Selçuk, Delbende & Rossi 2018;Quaranta et al 2019).…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum vortex leapfrogging in two-dimensional channels

et al. 2021

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“…The time evolution of this vortex configuration is striking: the vortex ring (or pair) which is ahead widens and slows down, while the ring behind contracts, speeds up, catches up with the first ring and goes ahead through it; this 'leapfrogging' game is then repeated over and over again, unless instabilities disrupt it. A number of papers have been written on different aspects of this problem, ranging from the stability [1,26,36,64] to the deformation of the vortex cores and to the effects of viscosity [60] using numerical [10,13,54] as well as experimental methods [37,40,51,73]. The most recent developments concern leapfrogging of vortex bundles [68] and helical waves [27,52,57].…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum vortex leapfrogging in two-dimensional channels

Galantucci,

Sciacca,

Parker

et al. 2020

Preprint

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The leapfrogging of coaxial vortex rings is a famous effect which has been noticed since the times of Helmholtz. Recent advances in ultra-cold atomic gases show that the effect can now be studied in quantum fluids. The strong confinement which characterizes these systems motivates the study of leapfrogging of vortices within narrow channels. Using the two-dimensional point vortex model, we show that in the constrained geometry of a two-dimensional channel the dynamics is richer than in an unbounded domain: alongsize the known regimes of standard leapfrogging and the absence of it, we identify new regimes of backward leapfrogging and periodic orbits. Moreover, by solving the Gross-Pitaevskii equation for a Bose-Einstein condensate, we show that all four regimes exist for quantum vortices too. Finally, we discuss the differences between classical and quantum vortex leapfrogging which appear when the quantum healing length becomes significant compared to the vortex separation or the channel size, and when, due to high velocity, compressibility effects in the condensate becomes significant.

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Lagrangian flow visualization of multiple co-axial co-rotating vortex rings

Cited by 9 publications

References 17 publications

An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation

An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation

Classical and quantum vortex leapfrogging in two-dimensional channels

Classical and quantum vortex leapfrogging in two-dimensional channels

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